Abel-poisson type kernel and product type kernel on p-series group

摘要

Let G be a p-series group and Ω be a compact subgroup of G. Let λ(x,r) and λ_n(x,r) be A- belp-poisson type kernel and product type kernel on Ω respectively. In this paper we discuss the ap- proximation properties of such kernels, give the estimates of their moments, obtain the direct and in- verse approximation theorems.